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Finding the Fourth Proportional to 2,306.46, 3,459.93 and 640.59

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Solution

The fourth proportional to 2,306.46, 3,459.93 and 640.59 is: 960.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.46 : 3,459.93 = 640.59 : x
  2. Step 2: Convert to fraction form
    2,306.46/3,459.93 = 640.59/x
  3. Step 3: Cross multiply
    2,306.46x = 3,459.93 × 640.59
  4. Step 4: Simplify right side
    2,306.46x = 2,216,381.18
  5. Step 5: Solve for x
    x = 2,216,381.18/2,306.46
  6. Step 6: Final answer
    x = 960.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.